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Finding the Third Proportional to 40,048 and 86,917

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Solution

The third proportional to 40,048 and 86,917 is: 188,637.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,048 : 86,917 = 86,917 : x
  2. Step 2: Convert to fraction form
    40,048/86,917 = 86,917/x
  3. Step 3: Cross multiply
    40,048x = 86,917 × 86,917
  4. Step 4: Simplify right side
    40,048x = 7,554,564,889
  5. Step 5: Solve for x
    x = 7,554,564,889/40,048
  6. Step 6: Final answer
    x = 188,637.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.